1. The problem statement, all variables and given/known data For any quadratic polynomial ax2+bx+c having zeros β and α Prove that β + α = -b/a and αβ = c/a. 2. Relevant equations 3. The attempt at a solution I have found a method myself to prove α+ β = -b/a. However, I could not prove αβ = c/a. It goes like this. If α and β are the zeros of the given polynomial. a(α)2+b(α) + c = 0 .................... (i) Also, a(β)2+b(β) + c = 0 ....................(ii) Comparing (i) and (ii) a(α)2+b(α) + c = a(β)2+b(β) + c => aα2-aβ2 = bβ - bα =>a(α2-β2) = -b(α-β) =>α2-β2/α-β = -b/a => α+β = -b/a Please help me prove αβ = c/a using the same method.